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Article type: Research Article
Authors: Ma, X. | Zhan, J. | Xiang, D.
Affiliations: Department of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei Province, 445000, P.R. China
Note: [] Corresponding author. E-mail: [email protected]; [email protected] (J. Zhan).
Abstract: The aim of this paper is to introduce the concepts of (∈, ∈, ∨q)-fuzzy Boolean filters and (∈, ∈, ∨q)-fuzzy MV-filters in MTL-algebras. Some characterizations of these kinds of generalized fuzzy filters are derived. Finally, the concept of (∈, ∈, ∨q)-fuzzy G-filters in MTL-algebras is introduced. It is proved that an (∈, ∈, ∨q)-fuzzy filter of MTL-algebras is Boolean if and only if it is both an (∈, ∈, ∨q)-fuzzy G-filter and an (∈, ∈, ∨q)-fuzzy MV-filter.
Keywords: MTL-algebra, (∈, ∈, ∨q)-fuzzy Boolean filter, (∈, ∈, ∨q)-fuzzy G-filter, (∈, ∈, ∨q)-fuzzy MV-filter
DOI: 10.3233/IFS-2009-0425
Journal: Journal of Intelligent & Fuzzy Systems, vol. 20, no. 4, 5, pp. 169-174, 2009
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